This article aims to review a selection of central topics and examples in logarithmic
conformal field theory. It begins with the remarkable observation of Cardy that the horizontal …

A bstract Superstring theory on\({\mathrm {AdS}} _3\times {S}^ 3\times {\mathbb {T}}^ 4\) with
the smallest amount of NS-NS flux (“k= 1”) is shown to be dual to the spacetime CFT given …

We construct a family of 3d quantum field theories $\mathcal T_ {n, k}^ A $ that conjecturally
provide a physical realization--and derived generalization--of non-semisimple mathematical …

A bstract We study the realization of supergroup gauge theories using negative branes in
string theory. We show that negative branes are intimately connected with the possibility of …

This article gives a complete account of the modular properties and Verlinde formula for
conformal field theories based on the affine Kac–Moody algebra sl ˆ (2) at an arbitrary …

Conformal sigma models and Wess–Zumino–Witten (WZW) models on coset superspaces
provide important examples of logarithmic conformal field theories. They possess many …

Let $\mathcal {U} $ be a braided tensor category, typically unknown, complicated and in
particular non-semisimple. We characterize $\mathcal {U} $ under the assumption that there …

A bstract String theory on AdS 3× S 3× S 3× S 1 with pure NS-NS flux and minimal flux
through one of the two S 3's is studied from a world-sheet perspective. It is shown that the …

A bstract In this work we launch a systematic theory of superconformal blocks for fourpoint
functions of arbitrary supermultiplets. Our results apply to a large class of superconformal …

Logarithmic conformal field theory is a rich and vibrant area of modern mathematical physics
with well-known applications to both condensed matter theory and string theory. Our limited …